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» Oriented diameter of graphs with diameter 3
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SWAT
2010
Springer
242views Algorithms» more  SWAT 2010»
13 years 5 months ago
Minimizing the Diameter of a Network Using Shortcut Edges
We study the problem of minimizing the diameter of a graph by adding k shortcut edges, for speeding up communication in an existing network design. We develop constant-factor appro...
Erik D. Demaine, Morteza Zadimoghaddam
CORR
2010
Springer
59views Education» more  CORR 2010»
13 years 7 months ago
Edge Growth in Graph Cubes
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7 4 (G). We also provide an example showing that this bound is best possible. This resolv...
Matt DeVos, Stéphan Thomassé
JCT
2006
46views more  JCT 2006»
13 years 7 months ago
Optimal tristance anticodes in certain graphs
For z1, z2, z3 Zn, the tristance d3(z1, z2, z3) is a generalization of the L1-distance on Zn to a quantity that reflects the relative dispersion of three points rather than two. ...
Tuvi Etzion, Moshe Schwartz, Alexander Vardy
FCT
2007
Springer
13 years 9 months ago
On the Complexity of Kings
The diameter of an undirected graph is the minimal number d such that there is a path between any two vertices of the graph of length at most d. The radius of a graph is the minim...
Edith Hemaspaandra, Lane A. Hemaspaandra, Till Tan...
SODA
1994
ACM
138views Algorithms» more  SODA 1994»
13 years 8 months ago
Average Case Analysis of Dynamic Geometric Optimization
We maintain the maximum spanning tree of a planar point set, as points are inserted or deleted, in O(log3 n) time per update in Mulmuley's expected-case model of dynamic geom...
David Eppstein